The Monge-Ampère operator and geodesics in the space of Kähler potentials
Phong, D. H. · Sturm, Jacob
Original · EN
It is shown that geodesics in the space of Kähler potentials can be uniformly approximated by geodesics in the spaces of Bergman metrics. Two important tools in the proof are the Tian-Yau-Zelditch approximation theorem for Kähler potentials and the pluripotential theory of Bedford-Taylor, suitably adapted to Kähler manifolds.
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